(1.)What is the value of 35−3m , when m = 4?

1 answer:

4 0

(1.) 35-3m
m= 4

35-3m
= 35-3(4)
= 35-12 (do the multiple/division first before doing the addition/subtraction)
= 23

C. 23

(2.) 1 + x ÷ 5
x = 80

1 + x ÷ 5
= 1+80÷5
= 1+16
= 17

(3.) mx-y
m=5, x=3, and y=8

mx-y
= 5(3)-8
= 15-8
= 7

(4.) 3a+15+bc−6
a=7, b=3, and c=15

3a+15+bc-6
= 3(7)+15+3(15)-6
= 21+15+45-6
= 75

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After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms

Anton [14]

Answer:

k = 0.006
T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

(31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

(t/35)ln(31/38) = -kt

k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

k ≈ 0.006

Using this in the equation for temperature, we have ...

T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.